Summer School on Computational Materials Science
2002
University of Illinois, Urbana-Champaign

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Monte Carlo Device Simulation

Umberto Ravaioli - ravaioli@uiuc.edu

Department of Electrical and Computer Engineering, Computational Science and Engineering Program, Beckman Institute, and NCSA

University of Illinois at Urbana-Champaign


Outline of Lecture

  1. Full Band Monte Carlo
    1. Silicon band structure
    2. Empirical pseudo-potential band structure calculation
    3. Monte Carlo simulation with full band
    4. 3-D parallel simulation of MOSFETs
    5. Simulation of Schottky barrier MOSFETs
  2. Time-Dependent Monte Carlo Simulation
    1. 1-D transient simulation - Gunn diode
    2. Multidimensional simulation - MESFET
    3. Approaches for noise analysis
    4. Full-wave simulation of electromagnetics
    5. Simulation of real space transfer devices
  3. Statistical Enhancement for Monte Carlo Simulation
    1. Noise in Monte Carlo simulation
    2. Multi-comb method
    3. Enhancement method used in DAMOCLES
    4. Adaptive gather method
    5. Comparisons of the approaches

Background Articles

1.

"Full-Band Monte Carlo Investigation of Hot Carrier Trends in the Scaling of MOSFETs", A. Duncan, U. Ravaioli, and J. Jakumeit, IEEE Trans Electron Dev., vol. 45, pp. 867-876, 1998. (169 KB PDF)

2.

"Integration of a Particle-Particle-Particle-Mesh Algorithm with the Ensemble Monte Carlo method for the Simulation of Ultra-Small Semiconductor Devices", C. Wordelman and U. Ravaioli, IEEE Trans Electron Dev., vol. 47, pp. 410-416, 2000. (115 KB PDF)

3.

"Simulation of Schottky Barrier MOSFET's with a Coupled Quantum Injection/Monte Carlo Technique", B. Winstead and U. Ravaioli, IEEE Trans Electron Dev., vol. 47, pp. 1241-1246, 2000. (101 KB PDF)

4.

"Ananlysis of Variance-Reduction Schemes for Ensemble Monte Carlo Simulations of Semiconductor Devices", A. Pacelli and U. Ravaioli, Solid-State Electronics, vol. 41, pp. 599-605, 1997. (542 KB PDF)

   

Lecture 1

Full Band Monte Carlo Simulation
  Presentation - download (2.4 MB PDF)

Lecture 2

Time-dependent Monte Carlo Simulation
  Presentation - download (590 KB PDF)

Lecture 3

Statistical Enhancement (Variance Reduction) for Monte Carlo Simulation
  Presentation - download (248 KB PDF)

Lab Exercises

  Silicon Band Structure Calculation (79 KB PDF)

BANDS1 FORTRAN code - download (24 KB)

 


Last Updated August 13, 2002
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